论文标题

标量$ f_0(500)$和$ f_0(980)$ ressonances and vector mesons in the cabibbo抑制的衰减$λ_c\ to p k^+k^ - $&pπ^+π^ - $

The scalar $f_0(500)$ and $f_0(980)$ resonances and vector mesons in the single Cabibbo-suppressed decays $Λ_c \to p K^+K^-$ and $pπ^+π^-$

论文作者

Wang, Zhe, Wang, Yan-Yan, Wang, En, Li, De-Min, Xie, Ju-Jun

论文摘要

在手性统一的方法中,我们研究了单个cabibbo抑制的损失,损失了$λ_c\ to pk^+k^ - $和$λ_c\ topπ^+π^ - $,考虑到$ s $ s $ -wave meson-meson-meson互动,以及从IntermedMediate Vectors的贡献以及$ $ $ $ $ c^0。对于$λ_c\ to $λ_c\ $λ_c\ to p ϕ $,我们的理论结果是$λ_c\ wit p \ bar {k}^{*0} $和$λ_C\ $λ_c\ to p ϕ $的理论结果是与实验数据一致的。在图片中,标量共鸣$ f_0(500)$,$ f_0(980)$和$ a_0(980)$是从$ s $ -Wave中的pseudoscalar-pseudoscalar互动中动态产生的pk^+k^ - $和$λ_c\ topπ^+π^ - $。可以找到$ f_0(500)$的宽大凸起结构,而在$π^+π^ - $ f_0(980)$的狭窄峰值中,decay $λ_c\ topπ^+π^ - $不变的质量分布。对于$ k^+k^ - $不变的质量分布,除了$ ϕ $梅森的狭窄峰外,还附近还有一个增强结构,主要是由于$ f_0(980)$的贡献。 $π^+π^ - $和$ k^+k^ - $不变的质量分布都与besiii的测量兼容。我们鼓励我们的实验同事测量这两个衰退,这有助于了解$ f_0(500)$,$ f_0(980)$和$ a_0(980)$的性质。

In the chiral unitary approach, we have studied the single Cabibbo-suppressed decays $Λ_c\to pK^+K^-$ and $Λ_c \to p π^+π^-$ by taking into account the $s$-wave meson-meson interaction as well as the contributions from the intermediate vectors $ϕ$ and $ρ^0$. Our theoretical results for the ratios of the branching fractions of $Λ_c\to p \bar{K}^{*0}$ and $Λ_c\to p ω$ with respect to the one of $Λ_c\to p ϕ$ are in agreement with the experimental data. Within the picture that the scalar resonances $f_0(500)$, $f_0(980)$, and $a_0(980)$ are dynamically generated from the pseudoscalar-pseudoscalar interactions in $s$-wave, we have calculated the $K^+K^-$ and $π^+π^-$ invariant mass distributions respectively for the decays $Λ_c\to pK^+K^-$ and $Λ_c\to pπ^+π^-$. One can find a broad bump structure for the $f_0(500)$ and a narrow peak for the $f_0(980)$ in the $π^+π^-$ invariant mass distribution of the decay $Λ_c\to pπ^+π^-$. For the $K^+K^-$ invariant mass distribution, in addition to the narrow peak for the $ϕ$ meson, there is an enhancement structure near the $K^+K^-$ threshold mainly due to the contribution from the $f_0(980)$. Both the $π^+π^-$ and $K^+K^-$ invariant mass distributions are compatible with the BESIII measurement. We encourage our experimental colleagues to measure these two decays, which would be helpful to understand the nature of the $f_0(500)$, $f_0(980)$, and $a_0(980)$.

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